Limiting transitions in the Tolman solution of the equations of general relativity
Abstract
The paper considers the limiting transitions to special relativity and the Newtonian theory of gravitation in the Tolman solutions of the Einstein equations. It is shown that elliptical systems do not have an analog in the special theory. The analogs for hyperbolic and parabolic systems are the noninertial Robertson and the specialtheory inertial systems, respectively. It is shown that a transition to the Newtonian theory of gravitation can be made for any type of Tolman coordinate system.
 Publication:

Soviet Physics Journal
 Pub Date:
 January 1975
 DOI:
 10.1007/BF00889800
 Bibcode:
 1975SvPhJ..18...17K